19022135040 has 288 divisors, whose sum is σ = 71475082560. Its totient is φ = 4774035456.

The previous prime is 19022134993. The next prime is 19022135047. The reversal of 19022135040 is 4053122091.

19022135040 is a `hidden beast` number, since 1 + 90 + 221 + 350 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 19022134995 and 19022135013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19022135047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571332 + ... + 603708.

It is an arithmetic number, because the mean of its divisors is an integer number (248177370).

Almost surely, 2^19022135040 is an apocalyptic number.

19022135040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19022135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35737541280).

19022135040 is an abundant number, since it is smaller than the sum of its proper divisors (52452947520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19022135040 is a wasteful number, since it uses less digits than its factorization.

19022135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32424 (or 32404 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 19022135040 in words is "nineteen billion, twenty-two million, one hundred thirty-five thousand, forty".